✒️[tex]\large{\mathcal{ANSWER}}[/tex]
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- We found the value of the unknown x to be equal to 20, but to get that result, we first need to remember what supplementary angles are.
• What are these supplementary angles?
•Supplementary angles are those in which their sum results in 180°.
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• Like this;
For example,
- An angle of 120° and an angle of 60° are supplementary to each other, because 120° + 60° = 180°.
Knowing what supplementary angles are, we can solve the question:
Note;
- That the only thing we have to do is make the 2 angles in the figure equal to 180°, since they are supplementary to each other, so let's build a first-degree equation, doing this, we have to:
[tex]6x + 15° + 2x + 5° = 180° \\ 8x + 20° = 180° \\ 8x = 180° - 20 °\\ 8x = 160° \\ x = \frac{160°}{80} \\ x= 20°[/tex]
- Therefore, the correct alternative is the letter B.
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Good studies and I hope I helped :)
